Kegel, Tobias: Simulation and estimation of operator scaling stable random fieldsSimulation und Schätzung von operatorskalierenden stabilen Zufallsfeldern. 2011
Inhalt
- Kurzzusammenfassung
- Abstract
- Contents
- Introduction
- Definition of OSSRFs
- Approximation of OSSRFs in harmonizable representation
- Approximation
- Approximation error due to the truncation
- Approximation error due to the discretisation
- Approximation of OSSRFs in moving average representation
- Approximation
- Approximation error due to the truncation
- Approximation error due to the discretisation
- Approximation algorithms
- Simulation of stable random variables
- Simulation of an isotropic complex-valued stable random variable
- Simulation of a real-valued symmetric stable random variable
- Approximation of two-dimensional OSSRF in harmonizable distribution
- Approximation of d-dimensional OSSRF in harmonizable distribution
- Approximation of two-dimensional OSSRF in moving average distribution
- Approximation of d-dimensional OSSRF in moving average representation
- The fast Fourier transform
- The fast convolution
- Implementations of the approximation algorithms
- Parameter estimation in the harmonizable case
- Manual of the Java program ``OSSRFSIM''
- Program start
- 2-dimensional OSSRF
- The main menu
- The File menu
- The Save Image menu
- The parameter dialog
- Progress display
- Mouse and keyboard commands
- 3-dimensional OSSRF
- The parameter dialog
- The display parameter dialog
- The main menu
- Mouse and keyboard commands in the main window
- Progress display
- The option.txt file
- Contents of the attached CD
- List of symbols and abbreviations
- Bibliography